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Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model
Hu, ZN; Hou, BY; Hu, ZN , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
1996
发表期刊JOURNAL OF STATISTICAL PHYSICS
ISSN0022-4715
卷号82期号:40972页码:633-655
摘要We find that the Boltzmann weight of the three-dimensional Baxter-Bazhanov model is dependent on four spin variables which are the linear combinations of the spins on the corner sites of the cube, and the Wu-Kadanoff-Wegner duality between the cube- and vertex-type tetrahedron equations is obtained explicitly for the Baxter-Bazhanov model. Then a three-dimensional vertex model is obtained by considering the symmetry property of the weight function, which corresponds to the three-dimensional Baxter-Bazhanov model. The vertex-type weight function is parametrized as the dihedral angles between the rapidity planes connected with the cube. We write down the symmetry relations of the weight functions under the actions of the symmetry group G of the cube. The six angles with a constraint condition appearing in the tetrahedron equation can be regarded as the six spectra connected with the six spaces in which the vertex-type tetrahedron equation is defined.
部门归属NW UNIV XIAN,INST MODERN PHYS,XIAN 710069,PEOPLES R CHINA
关键词Chiral Potts-model Tetrahedron Equations Zamolodchikov Model 8-vertex Model
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12656
专题理论物理所1978-2010年知识产出
通讯作者Hu, ZN , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
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GB/T 7714
Hu, ZN,Hou, BY,Hu, ZN , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.. Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model[J]. JOURNAL OF STATISTICAL PHYSICS,1996,82(40972):633-655.
APA Hu, ZN,Hou, BY,&Hu, ZN , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1996).Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model.JOURNAL OF STATISTICAL PHYSICS,82(40972),633-655.
MLA Hu, ZN,et al."Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model".JOURNAL OF STATISTICAL PHYSICS 82.40972(1996):633-655.
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